Question

12 plus the product of 2 and some number is equal to the product of 4 and some number minus 8 .

Answer 1

Answer:

The number is 10

Step-by-step explanation:

Let x be the number

product is multiply

12 + (2x) = 4x -8

Subtract 2x from each side

12+2x-2x = 4x-2x-8

12 = 2x-8

Add 8 to each side

12+8 = 2x-8+8

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

Answer 2

Answer:

Algebraic expression

$12 +2(x) = 4(x)-8$

Step-by-step explanation:

Let the unknown number be x

$12 +2(x) = 4(x)-8$

Further solving

$12+2x=4x-8\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\12+2x-12=4x-8-12\\\\Simplify\\2x=4x-20\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\2x-4x=4x-20-4x\\\\Simplify\\-2x=-20\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-20}{-2}\\\\Simpllify\\x =10$